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Finding the Third Proportional to 6,439.50 and 9,552.94

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Solution

The third proportional to 6,439.50 and 9,552.94 is: 14,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.50 : 9,552.94 = 9,552.94 : x
  2. Step 2: Convert to fraction form
    6,439.50/9,552.94 = 9,552.94/x
  3. Step 3: Cross multiply
    6,439.50x = 9,552.94 × 9,552.94
  4. Step 4: Simplify right side
    6,439.50x = 91,258,614.88
  5. Step 5: Solve for x
    x = 91,258,614.88/6,439.50
  6. Step 6: Final answer
    x = 14,171.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.